eBook ISBN:  9780821881262 
Product Code:  CONM/447.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9780821881262 
Product Code:  CONM/447.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 

Book DetailsContemporary MathematicsVolume: 447; 2007; 256 ppMSC: Primary 35; 47; 81;
This volume consists of refereed research articles written by some of the speakers at this international conference in honor of the sixtyfifth birthday of JeanMichel Combes. The topics span modern mathematical physics with contributions on stateoftheart results in the theory of random operators, including localization for random Schrödinger operators with general probability measures, random magnetic Schrödinger operators, and interacting multiparticle operators with random potentials; transport properties of Schrödinger operators and classical Hamiltonian systems; equilibrium and nonequilibrium properties of open quantum systems; semiclassical methods for multiparticle systems and longtime evolution of wave packets; modeling of nanostructures; properties of eigenfunctions for firstorder systems and solutions to the GinzburgLandau system; effective Hamiltonians for quantum resonances; quantum graphs, including scattering theory and trace formulas; random matrix theory; and quantum information theory. Graduate students and researchers will benefit from the accessibility of these articles and their current bibliographies.
ReadershipGraduate students and research mathematicians interested in mathematical physics and statistical mechanics.

Table of Contents

Articles

Walter H. Aschbacher  On the emptiness formation probability in quasifree states [ MR 2423567 ]

Victor Chulaevsky  WegnerStollmann type estimates for some quantum lattice systems [ MR 2423568 ]

Monique Combescure  The mutually unbiased bases revisited [ MR 2423569 ]

Horia D. Cornean, Thomas G. Pedersen and Benjamin Ricaud  Perturbative vs. variational methods in the study of carbon nanotubes [ MR 2423570 ]

S. De Bièvre, P. Lafitte and P. E. Parris  Normal transport at positive temperatures in classical Hamiltonian open systems [ MR 2423571 ]

Pavel Exner and Jiří Lipovský  Equivalence of resolvent and scattering resonances on quantum graphs [ MR 2423572 ]

S. Fournais and B. Helffer  Optimal uniform elliptic estimates for the GinzburgLandau system [ MR 2423573 ]

François Germinet and Abel Klein  Localization for a continuum CantorAnderson Hamiltonian [ MR 2423574 ]

François Germinet and Serguei Tcheremchantsev  Generalized fractal dimensions on the negative axis for non compactly supported measures [ MR 2423575 ]

F. Ghribi, P. D. Hislop and F. Klopp  Localization for Schrödinger operators with random vector potentials [ MR 2423576 ]

George A. Hagedorn and Alain Joye  Vibrational levels associated with hydrogen bonds and semiclassical Hamiltonian normal forms [ MR 2423577 ]

Vojkan Jakšić and ClaudeAlain Pillet  On the strict positivity of entropy production [ MR 2423578 ]

Arne Jensen and Gheorghe Nenciu  Uniqueness results for transient dynamics of quantum systems [ MR 2423579 ]

Vadim Kostrykin, Jürgen Potthoff and Robert Schrader  Heat kernels on metric graphs and a trace formula [ MR 2423580 ]

J. L. Lebowitz, A. Lytova and L. Pastur  On a random matrix model of quantum relaxation [ MR 2423581 ]

Didier Robert  Revivals of wave packets and BohrSommerfeld quantization rules [ MR 2423582 ]

Lawrence E. Thomas and Yao Wang  On a linear stochastic wave equation modeling heat flow [ MR 2423583 ]

D. R. Yafaev  Exponential decay of eigenfunctions of first order systems [ MR 2423584 ]


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This volume consists of refereed research articles written by some of the speakers at this international conference in honor of the sixtyfifth birthday of JeanMichel Combes. The topics span modern mathematical physics with contributions on stateoftheart results in the theory of random operators, including localization for random Schrödinger operators with general probability measures, random magnetic Schrödinger operators, and interacting multiparticle operators with random potentials; transport properties of Schrödinger operators and classical Hamiltonian systems; equilibrium and nonequilibrium properties of open quantum systems; semiclassical methods for multiparticle systems and longtime evolution of wave packets; modeling of nanostructures; properties of eigenfunctions for firstorder systems and solutions to the GinzburgLandau system; effective Hamiltonians for quantum resonances; quantum graphs, including scattering theory and trace formulas; random matrix theory; and quantum information theory. Graduate students and researchers will benefit from the accessibility of these articles and their current bibliographies.
Graduate students and research mathematicians interested in mathematical physics and statistical mechanics.

Articles

Walter H. Aschbacher  On the emptiness formation probability in quasifree states [ MR 2423567 ]

Victor Chulaevsky  WegnerStollmann type estimates for some quantum lattice systems [ MR 2423568 ]

Monique Combescure  The mutually unbiased bases revisited [ MR 2423569 ]

Horia D. Cornean, Thomas G. Pedersen and Benjamin Ricaud  Perturbative vs. variational methods in the study of carbon nanotubes [ MR 2423570 ]

S. De Bièvre, P. Lafitte and P. E. Parris  Normal transport at positive temperatures in classical Hamiltonian open systems [ MR 2423571 ]

Pavel Exner and Jiří Lipovský  Equivalence of resolvent and scattering resonances on quantum graphs [ MR 2423572 ]

S. Fournais and B. Helffer  Optimal uniform elliptic estimates for the GinzburgLandau system [ MR 2423573 ]

François Germinet and Abel Klein  Localization for a continuum CantorAnderson Hamiltonian [ MR 2423574 ]

François Germinet and Serguei Tcheremchantsev  Generalized fractal dimensions on the negative axis for non compactly supported measures [ MR 2423575 ]

F. Ghribi, P. D. Hislop and F. Klopp  Localization for Schrödinger operators with random vector potentials [ MR 2423576 ]

George A. Hagedorn and Alain Joye  Vibrational levels associated with hydrogen bonds and semiclassical Hamiltonian normal forms [ MR 2423577 ]

Vojkan Jakšić and ClaudeAlain Pillet  On the strict positivity of entropy production [ MR 2423578 ]

Arne Jensen and Gheorghe Nenciu  Uniqueness results for transient dynamics of quantum systems [ MR 2423579 ]

Vadim Kostrykin, Jürgen Potthoff and Robert Schrader  Heat kernels on metric graphs and a trace formula [ MR 2423580 ]

J. L. Lebowitz, A. Lytova and L. Pastur  On a random matrix model of quantum relaxation [ MR 2423581 ]

Didier Robert  Revivals of wave packets and BohrSommerfeld quantization rules [ MR 2423582 ]

Lawrence E. Thomas and Yao Wang  On a linear stochastic wave equation modeling heat flow [ MR 2423583 ]

D. R. Yafaev  Exponential decay of eigenfunctions of first order systems [ MR 2423584 ]